225118000 has 40 divisors (see below), whose sum is σ = 544340160. Its totient is φ = 90046400.

The previous prime is 225117983. The next prime is 225118009. The reversal of 225118000 is 811522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×225118000² = 101356227848000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225118009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54280 + ... + 58279.

It is an arithmetic number, because the mean of its divisors is an integer number (13608504).

Almost surely, 2^225118000 is an apocalyptic number.

225118000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225118000 is an abundant number, since it is smaller than the sum of its proper divisors (319222160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225118000 is a wasteful number, since it uses less digits than its factorization.

225118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112582 (or 112566 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 225118000 is about 15003.9328177648. The cubic root of 225118000 is about 608.3265068770.

Adding to 225118000 its reverse (811522), we get a palindrome (225929522).

The spelling of 225118000 in words is "two hundred twenty-five million, one hundred eighteen thousand".